How Do You Calculate Tension in a Rope Holding a Box on a Ladder?

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SUMMARY

The discussion centers on calculating the tension in a rope supporting a 42 kg box on a ladder, using the equation T = m1g - m1a. The participants clarify that the mass of the box is 42 kg, and the gravitational force (g) is a critical component in determining tension. The confusion arises around the acceleration (a) and the dimensions of the setup, particularly height (h) and angle (θ). The conversation emphasizes the importance of these variables in accurately calculating the tension.

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Homework Statement



1) A box of mass 42kg sits on the top of a ladder. Neglecting the weight of the ladder, find the tension in the rope. Assume the rope exerts horizontal forces on the ladder at each end.

Homework Equations



m1g – T = m1a

The Attempt at a Solution


T = m1g - m1a
This is the formula i know for calculating the tension
I have mass has 42 kg. But what is the value for acceleration here? Also I don't know because i have values for h and θ in the diagram.
 

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I think you are missing a critical dimension, see,

Edit, not so sure now, think everything is fine.
 

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Last edited:
This is more what you want?
 

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Thanks a lot Spinnor. So nice of you in explaining the things so beautifully.
 

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